Structures Informatiques et Logiques pour la Modélisation Linguistique, (24h, 3ECTS). Taught in round-robin by Benoît Crabbé (Paris Diderot), Philippe de Groote (INRIA Lorraine), and Sylvain Schmitz (ENS Paris-Saclay).

This year, the first part of the course is taught by Benoît Crabbé (Paris Diderot). The second half is taught by Philippe de Groote (INRIA Lorraine).

TBA

To be decided with the students. The course material is in English. Students will be allowed to take the exam in French or in English.

Computational linguistics employs mathematical models to represent morphological, syntactic, and semantic structures in natural languages. The course introduces several such models while insisting on their underlying logical structure and algorithmics. Quite often these models will be related to mathematical objects studied in other MPRI courses, for which this course provides an original set of applications and problems.

The course is not a substitute for a full cursus in computational linguistics; it rather aims at providing students with a rigorous formal background in the spirit of MPRI. Most of the emphasis is put on the symbolic treatment of words, sentences, and discourse. Several fields within computational linguistics are not covered, prominently speech processing and pragmatics. Machine learning techniques are only very sparsely treated; for instance we focus on the mathematical objects obtained through statistical and corpus-based methods (i.e. weighted automata and grammars) and the associated algorithms, rather than on automated learning techniques (which is the subject of course 1.30).

We sketch here the planned contents for 2018–2019. These contents are structured around three important subdomains of linguistics, (morphology, syntax, and semantics), presenting on each occasion some of the related models and the corresponding algorithmic issues. The exact dates and content might change.

1. September 12th, 2018
   • General Introduction
     the subdomains of linguistics, the issues of linguistic modelling, and the various computational approaches
   • Syntactic Modelling
     constituent and dependency analyses
   • Context-free Parsing
     parsing as intersection
2. September 26th, 2018
   • Model-Theoretic Syntax
     monadic second-order logic and propositional dynamic logic on trees, automata characterisations
3. October 3rd, 2018
   • Mildly Context-Sensitive Syntax
     tree-adjoining grammars, well-nested MCSLs
4. October 10th, 2018
   • Probabilistic Syntax
     probabilistic CFGs, learning, probabilistic parsing
5. October 17th, 2018
   • Semantic Representations
     modal logics, higher-order logics
6. October 24th, 2018
   • Syntax/Semantics Interface
     compositionality, higher-order syntax, abstract categorial grammars
7. November 7th, 2018
   • Montague Semantics
     model-theoretic semantics, intensionality
8. November 14th, 2018
   • Discourse Analysis
     discourse representation theory, anaphora resolution, type-theoretic dynamic logic
9. November 21st, 2018
   • exam

• Lecture notes for the first half, last updated Nov. 18, 2018.
• Exam

• Lecture notes for the first half, last updated Oct. 12, 2017.
• Exam

• Lecture notes for the first half, last updated Sep. 21, 2016.
• Lecture 5
• Lecture 6
• Lecture 7
• Lecture 8
• Exam

• Lecture notes for the first half, last updated Oct. 13, 2015.
• Lecture 5
• Lecture 6
• Lecture 7
• Lecture 8
• Exam

• Lecture slides (intro) (addendum)
• Lecture slides (CFG)
• Lecture slides (TAG,LCFRS)
• Lecture notes for the second half, last updated Nov. 13 2014.
• Exam

• Lecture notes for the first half, last updated Oct. 8 2013.
• Slides for the second half.
• Exam

• Lecture slides (intro)
• Lecture slides (syntax)
• Lecture slides (TAG)
• Lecture slides (parsing)
• Lecture slides (weighted parsing)
• Lesson (Semantic Representations)
• Lesson (Syntax/Semantic Interface)
• Lesson (Formal Semantics)
• Lesson (Discourse Analysis)
• Note on Intensionalization

• Lecture slides (intro)
• Lecture slides (CFG)
• Lecture slides (TAG)
• Lecture slides (DEPS)
• Lecture notes for the second half (roughly courses 5-8), last updated Nov. 30 2011.
• Exam

• Lecture notes from 2010 for the first part.
• Slides from 2010 for the second part.
• Exams from previous years: 2010, 2009 (only the second part), 2008, 2007, 2006, 2006.

• Basics in formal language theory (regular word languages, sequential functions, context-free languages, regular tree languages)
• Elementary notions in logics
• Some fluency in lambda calculus

• 1.18 Tree Automata and Applications: regular tree languages, monadic second-order logic on trees, potentially pushdown tree languages,
• 1.30 Machine Learning: as already mentioned, this course does not cover learning techniques
• 1.24 Probabilistic Aspects of Computer Science: Markov chains,
• 2.16 Modélisation par automates finis: rational relations and rational series.

• Jean Berstel. Transductions and Context-Free Languages, Teubner Studienbücher: Informatik, Teubner, 1979. webpage
• Jacques Sakarovitch. Elements of Automata Theory, Cambridge University Press, 2009. Translated from Éléments de théorie des automates, Vuibert Informatique, 2003.
• Hubert Comon, Max Dauchet, Rémi Gilleron, Christof Löding, Florent Jacquemard, Denis Lugiez, Sophie Tison, and Marc Tommasi. Tree Automata Techniques and Applications, 2007. webpage
• Daniel Jurafsky and James H. Martin. Speech and Language Processing, Prentice Hall Series in Artificial Intelligence, Prentice Hall, second edition, 2009.
• Mitkov, ed. The Oxford handbook of computational linguistics, Oxford University Press, 2003.
• Jackendoff, Ray. Foundations of language: brain, meaning, grammar evolution, Oxford University Press, 2002.
• Bob Carpenter. Type-Logical Semantics, MIT Press. 1998.
• Johan van Benthem and Alice ter Meulen, eds. Handbook of Logic and Language, Elsevier Science, 1997.
• Patrick Blackburn and Johan Bos. Representation and Inference for Natural Language, A First Course in Computational Semantics, CSLI, 2005.
• Christian Retoré. The Logic of Categorial Grammars: Lecture Notes. webpage
• Shuly Wintner, Nissim Francez, Unification Grammars, Cambridge University Press 2012.